England
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Where there's a "+", that means add those UTA to the CTY to make a full ceremonial county.
Where there's just a list, there is no CTY and the ceremonial county is made up of the UTAs or MTDs listed.
Where there's nothing in brackets, the county is just the CTY or UTA itself.
E&OE, please let me know if something seems odd or is wrong.

Bedfordshire (Luton, Bedford, Central Bedfordshire)
Berkshire (West Berkshire, Reading, Wokingham, Bracknell Forest, Windsor and Maidenhead, Slough)
Bristol
Buckinghamshire (+ Milton Keynes)
Cambridgeshire (+ Peterborough)
Cheshire (Cheshire West and Chester, Cheshire East, Warrington, Halton)
Cornwall (+ Isles of Scilly)
Cumbria
Derbyshire (+ Derby)
Devon (+ Torbay, Plymouth)
Dorset (+ Poole, Bournemouth)
Durham (+ Darlington, Stockton-on-Tees part*, Hartlepool)
East Riding of Yorkshire (+ Kingston upon Hull)
East Sussex (+ Brighton and Hove)
Essex (+ Thurrock, Southend-on-Sea)
Gloucestershire (+ South Gloucestershire)
Greater London (all 33 LBOs^)
Greater Manchester (Bolton, Bury, Manchester, Oldham, Rochdale, Salford, Stockport, Tameside, Trafford, Wigan)
Hampshire (+ Southampton, Portsmouth)
Herefordshire
Hertfordshire
Isle of Wight
Kent (+ Medway)
Lancashire (+ Blackpool, Blackburn with Darwen)
Leicestershire (+ Leicester)
Lincolnshire (+ North Lincolnshire, North East Lincolnshire)
Merseyside (Knowsley, Liverpool, St Helens, Sefton, Wirral)
Norfolk
North Yorkshire (+ Redcar and Cleveland, Middlesbrough, York, Stockton-on-Tees part*)
Northamptonshire
Northumberland
Nottinghamshire (+ Nottingham)
Oxfordshire
Rutland
Shropshire (+ Telford and Wrekin)
Somerset (+ Bath and North East Somerset, North Somerset)
South Yorkshire (Sheffield, Barnsley, Doncaster, Rotherham)
Staffordshire (+ Stoke-on-Trent)
Suffolk
Surrey
Tyne and Wear (Newcastle upon Tyne, Gateshead, North Tyneside, South Tyneside, Sunderland)
Warwickshire
West Midlands (Birmingham, Coventry, Dudley, Sandwell, Solihull, Walsall, Wolverhampton)
West Sussex
West Yorkshire (Wakefield, Kirklees, Calderdale, Bradford, Leeds)
Wiltshire (+ Swindon)
Worcestershire

Scotland
--------
You could just use the 32 UTA councils directly, if that worked okay.

Borders
Central (Clackmannanshire, Falkirk, Stirling)
Dumfries and Galloway
Fife
Grampian (Aberdeenshire [Banff and Buchan, Gordon, Kincardine and Deeside], Aberdeen, Moray)
Highland
Lothian (West Lothian, Edinburgh, Midlothian, East Lothian)
Orkney Islands
Strathclyde (Argyll and Bute, North Ayrshire, East Ayrshire, South Ayrshire, South Lanarkshire, Inverclyde, Renfrewshire, West Dunbartonshire, East Dunbartonshire, Glasgow, East Renfrewshire, North Lanarkshire)
Shetland Islands
Tayside (Angus, Dundee, Perth and Kinross)
Comhairle nan Eilean Siar

Wales
-----
Again, could just use the 22 UTA councils directly

Gwent (Caerphilly, Blaenau Gwent, Torfaen, Monmouthshire, Newport)
South Glamorgan (Cardiff, Vale of Glamorgan)
Mid Glamorgan (Merthry Tydfil, Bridgend, Rhondda Cynon Taff)
West Glamorgan (Neath Port Talbot, Swansea)
Dyfed (Carmarthenshire, Ceredigion, Pembrokeshire)
Powys (Powys)
Gwynedd (Gwynedd, Isle of Anglesey)
Clwyd (Wrexham, Flintshire, Denbighshire, Conwy)

Notes
-----

* The part of Stockton-on-Tees north of the River Tees is in Durham, the part
  to the south is part of North Yorkshire. No council ward crosses the river,
  so you can group the wards together to form the county correctly.

Thanks to Robin Houston, the six wards to the south of the Tees are:
    ["E05001538", "Ingleby Barwick East"],
    ["E05001539", "Ingleby Barwick West"],
    ["E05001540", "Mandale and Victoria"],
    ["E05001548", "Stainsby Hill"],
    ["E05001550", "Village"],
    ["E05001552", "Yarm"],

The other twenty wards are north of the Tees, so in County Durham:

    ["E05001527", "Billingham Central Ward"],
    ["E05001528", "Billingham East Ward"],
    ["E05001529", "Billingham North Ward"],
    ["E05001530", "Billingham South Ward"],
    ["E05001531", "Billingham West Ward"],
    ["E05001532", "Bishopsgarth and Elm Tree Ward"],
    ["E05001533", "Eaglescliffe Ward"],
    ["E05001534", "Fairfield Ward"],
    ["E05001535", "Grangefield Ward"],
    ["E05001536", "Hardwick Ward"],
    ["E05001537", "Hartburn Ward"],
    ["E05001541", "Newtown Ward"],
    ["E05001542", "Northern Parishes Ward"],
    ["E05001543", "Norton North Ward"],
    ["E05001544", "Norton South Ward"],
    ["E05001545", "Norton West Ward"],
    ["E05001546", "Parkfield and Oxbridge Ward"],
    ["E05001547", "Roseworth Ward"],
    ["E05001549", "Stockton Town Centre Ward"],
    ["E05001551", "Western Parishes Ward"],

^ Technically the City of London (one of the 33 LBOs) is its own ceremonial county separate from the other 32, but I don't think that matters when people refer to all of London together.